Least Common Multiple of 674/564, 1514/6792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 674/564, 1514/6792 quickly i.e. 510218/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 674/564, 1514/6792 is 510218/12.

LCM(674/564, 1514/6792) = 510218/12

LCM of 674/564, 1514/6792

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 674/564,1514/6792

Given numbers are 674/564,1514/6792

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 674,1514

Least Common Multiple of Numerators i.e. LCM of 674,1514 is 510218.

GCF of Denominators means GCF of 564,6792 as per the given fractions.

GCF of 564,6792 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 674,1514

LCM of Fractions 674/564,1514/6792 is 510218/12

2 674, 1514
337, 757

∴ So the LCM of the given numbers is 2 x 337 x 757 = 510218

Least Common Multiple of 674,1514 with GCF Formula

Least Common Multiple of 674,1514 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 674,1514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,1514) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(674,1514) x common factors =2 x 1 = 2

LCM(674,1514) = ( 674 × 1514 ) / 2

LCM(674,1514) = 1020436 / 2

LCM(674,1514) = 510218


Lets's calculate GCF of 564,6792

2 564, 6792
2 282, 3396
3 141, 1698
47, 566

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 510218/12

Therefore the LCM of Fractions 674/564,1514/6792 is 510218/12

Greatest Common Factor of 564,6792 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,6792 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 6792

List of positive integer factors of 6792 that divides 6792 without a remainder.

1,2,3,4,6,8,12,24,283,566,849,1132,1698,2264,3396,6792

Greatest Common Factor

We found the factors 564,6792 . The biggest common factor number is the GCF number.
So the greatest common factor 564,6792 is 12.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 674/564, 1514/6792

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 674/564, 1514/6792?

Answer: LCM of Numerators as per given numbers 674/564, 1514/6792 is

LCM of Numerators i.e. for 674,1514 is 510218

GCF of denominators i.e. for 564,6792 is 12.

Thus, LCM of Fractions is 510218/12.Finally, LCM of Fractions for 674/564, 1514/6792 is 510218/12.